L2 approaches to holomorphic foliations

0Citations
Citations of this article
1Readers
Mendeley users who have this article in their library.
Get full text

Abstract

Results on the L2 ∂̄ -cohomology groups are applied to holomorphic foliations with an emphasis on the cases with Levi flat hypersurfaces as stable sets. Nonexistence theorems are discussed for holomorphic foliations of codimension one on compact Kähler manifolds under some assumptions on geometric properties of the complement of stable sets. For the special cases such as ℂℙn, complex tori and Hopf surfaces, nonexistence, reduction and classification theorems will be proved. Closely related materials have been already discussed in Sect. 2.4., e.g. Theorem 2.79.

Cite

CITATION STYLE

APA

Ohsawa, T. (2018). L2 approaches to holomorphic foliations. In Springer Monographs in Mathematics (pp. 205–237). Springer Verlag. https://doi.org/10.1007/978-4-431-56852-0_5

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free